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Finding the Third Proportional to 363,594 and 781,161

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Solution

The third proportional to 363,594 and 781,161 is: 1,678,279.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,594 : 781,161 = 781,161 : x
  2. Step 2: Convert to fraction form
    363,594/781,161 = 781,161/x
  3. Step 3: Cross multiply
    363,594x = 781,161 × 781,161
  4. Step 4: Simplify right side
    363,594x = 610,212,507,921
  5. Step 5: Solve for x
    x = 610,212,507,921/363,594
  6. Step 6: Final answer
    x = 1,678,279.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.